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Finding the Fourth Proportional to 724.32, 1,084.84 and 517.76

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Solution

The fourth proportional to 724.32, 1,084.84 and 517.76 is: 775.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.32 : 1,084.84 = 517.76 : x
  2. Step 2: Convert to fraction form
    724.32/1,084.84 = 517.76/x
  3. Step 3: Cross multiply
    724.32x = 1,084.84 × 517.76
  4. Step 4: Simplify right side
    724.32x = 561,686.76
  5. Step 5: Solve for x
    x = 561,686.76/724.32
  6. Step 6: Final answer
    x = 775.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.